A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations
type: Item
instance of: scholarly article
title: A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations
zbMATH Open document ID: 1404.65193
author: Zhuo-Jia Fu
author: Li-Wen Yang
author: Huiqing Zhu
author: Wenzhi Xu
published in: Engineering Analysis with Boundary Elements
publication date: 2018-12-18T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6994803
zbMATH Keywords: collocation Trefftz scheme
zbMATH Keywords: T-complete function
zbMATH Keywords: Laplace transformation
zbMATH Keywords: time-fractional diffusion-wave equation
zbMATH Keywords: semi-analytical method
MaRDI profile type: Publication
full work available at URL: j.enganabound.2018.09.017
OpenAlex ID: W2899113484
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
cites work: An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
cites work: Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
cites work: Compact finite difference method for the fractional diffusion equation
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
cites work: Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
cites work: Boundary particle method for Laplace transformed time fractional diffusion equations
cites work: A localized transform-based meshless method for solving time fractional wave-diffusion equation
cites work: Numerical simulations of 2D fractional subdiffusion problems
cites work: Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
cites work: Analysis of a meshless method for the time fractional diffusion-wave equation
cites work: Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation
cites work: High-order finite element methods for time-fractional partial differential equations
cites work: Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
cites work: The BEM for numerical solution of partial fractional differential equations
cites work: Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
cites work: The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations
cites work: Application of MFS for determination of effective thermal conductivity of unidirectional composites with linearly temperature dependent conductivity of constituents
cites work: On the application of the method of fundamental solutions to nonlinear partial differential equations
cites work: A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
cites work: Trefftz, collocation, and other boundary methods—A comparison
cites work: Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
cites work: Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
cites work: Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
cites work: Q4004211
cites work: Q4861408
cites work: A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems
cites work: A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity
cites work: A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique
cites work: Boundary Particle Method with High-Order Trefftz Functions
cites work: On the ill-conditioned nature of \(C^\infty\) RBF strong collocation
cites work: An examination of evaluation algorithms for the RBF method
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Multi-precision Laplace transform inversion
cites work: A unified framework for numerically inverting Laplace transforms
cites work: An implicit RBF meshless approach for time fractional diffusion equations
cites work: Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
cites work: A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation
cites work: Solving nonlinear fractional partial differential equations using the homotopy analysis method
DOI: 10.1016/J.ENGANABOUND.2018.09.017
description: scientific article; zbMATH DE number 6994803